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A PRIMAL-DUAL INTERIOR-POINT ALGORITHM BASED ON A NEW KERNEL FUNCTION

Published online by Cambridge University Press:  03 February 2011

G. M. CHO ,
Y. Y. CHO  and
Y. H. LEE
G. M. CHO*
Affiliation:
Department of Multimedia Engineering, Dongseo University, Busan 617-716, South Korea (email: gcho@dongseo.ac.kr)
Y. Y. CHO
Affiliation:
Department of Mathematics, Pusan National University, Busan 609-735, South Korea (email: youyoung@pusan.ac.kr)
Y. H. LEE
Affiliation:
Department of Mathematics, Pusan National University, Busan 609-735, South Korea (email: yhlee@pusan.ac.kr)
*
✉For correspondence; e-mail: gcho@dongseo.ac.kr
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Abstract

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We propose a new primal-dual interior-point algorithm based on a new kernel function for linear optimization problems. New search directions and proximity functions are proposed based on the kernel function. We show that the new algorithm has and iteration bounds for large-update and small-update methods, respectively, which are currently the best known bounds for such methods.

Keywords

primal-dual interior-point methodkernel functioncomplexitypolynomial algorithmlinear optimization problem

MSC classification

Secondary: 90C05: Linear programming
Type
Research Article
Information
The ANZIAM Journal , Volume 51 , Issue 4 , April 2010 , pp. 476 - 491
Copyright
Copyright © Australian Mathematical Society 2011

References

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